While there are certainly well-made classic movies I find unappealing...The Graduate...I don't believe I've ever attempted to scold anyone else for enjoying them. I've certainly never advocated a movie be banned or censored. The idea of criminalizing a piece of art or entertainment, if only in peoples' minds, is one I find totally repellent.
Aside from seeing the Jaws trailer on a large screen in a movie theater...when I was five...I don't recall any Horror movie giving me nightmares. Certainly not panic attacks, nor PTSD.